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10023102000 = 24345361871
BaseRepresentation
bin10010101010110110…
…00110011000110000
3221212112020100010000
421111123012120300
5131011403231000
64334325510000
7503244650502
oct112533063060
927775210100
1010023102000
11428386397a
121b38872300
13c397187b2
146b1257d72
153d9e23000
hex2556c6630

10023102000 has 200 divisors, whose sum is σ = 36204772032. Its totient is φ = 2672784000.

The previous prime is 10023101969. The next prime is 10023102007. The reversal of 10023102000 is 20132001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10023102007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131065 + ... + 192935.

Almost surely, 210023102000 is an apocalyptic number.

10023102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102386016).

10023102000 is an abundant number, since it is smaller than the sum of its proper divisors (26181670032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023102000 is an equidigital number, since it uses as much as digits as its factorization.

10023102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61906 (or 61881 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10023102000 its reverse (20132001), we get a palindrome (10043234001).

The spelling of 10023102000 in words is "ten billion, twenty-three million, one hundred two thousand".